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ACT American College Testing: Math Section - ACT-Math real prep

ACT-Math
  • Exam Code: ACT-Math
  • Exam Name: ACT American College Testing: Math Section
  • Updated: Jun 19, 2026
  • Q & A: 280 Questions and Answers
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  • PDF Price: $59.98
  • ACT ACT-Math Value Pack

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ACT American College Testing: Math Section Sample Questions:

1. For -π/2 ≤ θ ≤ π/2, |sin θ | ≥ 1 is true for all and only the values of θ in which of the following sets?

A) The empty set
B) {π/2}
C) {θ | -π/ 2 ≤θ≤π/2}
D) {θ | -π/ 2 < θ < π/2}
E) {-π/2, π/2}


2. A youth basketball program serves a total of 280 children who are either 11 or 12 years old. The sum of the children's ages equal 3,238 years.
How many 12-year-old children are in the program?

A) 55
B) 132
C) 158
D) 122


3. Laura plans to paint the 8-foot-high rectangular walls of her room, and before she buys paint she needs to know the area of the wall surface to be painted. Two walls are 10 feet wide, and the other 2 walls are 15 feet wide. The combined area of the 1 window and the 1 door in her room is 60 square feet.
What is the area, in square feet, of the wall surface Laura plans to paint?

A) 360
B) 400
C) 390
D) 200
E) 340


4. If p < 0, q > 0, and r > p, then which of the following must be true?

A) p + r < r + q
B) r + q > q
C) p + r > 0
D) rp < rq
E) pr < rq


5. The area of one square face of a rectangular prism is 121 square units. If the volume of the prism is 968 cubic units, what is the surface area of the prism?

A) 528 square units
B) 352 square units
C) 512 square units
D) 1,452 square units
E) 594 square units


Solutions:

Question # 1
Answer: E
Question # 2
Answer: C
Question # 3
Answer: E
Question # 4
Answer: A
Question # 5
Answer: E

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